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469135680 = 26351337591
BaseRepresentation
bin11011111101100…
…111000101000000
31012200202120011120
4123331213011000
51430044320210
6114315112240
714424405336
oct3375470500
91180676146
10469135680
112208a6642
12111142680
13762698a0
144643db56
152b2bd270
hex1bf67140

469135680 has 112 divisors (see below), whose sum is σ = 1604125824. Its totient is φ = 115476480.

The previous prime is 469135627. The next prime is 469135687. The reversal of 469135680 is 86531964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469135687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6316 + ... + 31275.

It is an arithmetic number, because the mean of its divisors is an integer number (14322552).

Almost surely, 2469135680 is an apocalyptic number.

469135680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802062912).

469135680 is an abundant number, since it is smaller than the sum of its proper divisors (1134990144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

469135680 is a wasteful number, since it uses less digits than its factorization.

469135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37624 (or 37614 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 469135680 is about 21659.5401613238. The cubic root of 469135680 is about 777.0211165167.

The spelling of 469135680 in words is "four hundred sixty-nine million, one hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 37591 75182 112773 150364 187955 225546 300728 375910 451092 488683 563865 601456 751820 902184 977366 1127730 1202912 1466049 1503640 1804368 1954732 2255460 2405824 2443415 2932098 3007280 3608736 3909464 4510920 4886830 5864196 6014560 7217472 7330245 7818928 9021840 9773660 11728392 12029120 14660490 15637856 18043680 19547320 23456784 29320980 31275712 36087360 39094640 46913568 58641960 78189280 93827136 117283920 156378560 234567840 469135680